Critical behavior of magnetic polymers in two and three dimensions

Abstract

We explore the critical behavior of two- and three-dimensional lattice models of polymers in dilute solution where the monomers carry a magnetic moment which interacts ferromagnetically with near-neighbor monomers. Specifically, the model explored consists of a self-avoiding walk on a square or cubic lattice with Ising spins on the visited sites. In three dimensions we confirm and extend previous numerical work, showing clearly the first-order character of both the magnetic transition and the polymer collapse, which happen together. We present results in two dimensions, where the transition is seen to be continuous. Finite-size scaling is used to extract estimates for the critical exponents and the transition temperature in the absence of an external magnetic field.

Publication DOI: https://doi.org/10.1103/PhysRevE.104.024122
Additional Information: (c) 2021, American Physical Society.
Publication ISSN: 1550-2376
Last Modified: 14 May 2024 07:28
Date Deposited: 15 Mar 2022 16:28
Full Text Link: https://arxiv.o ... /abs/2105.13103
Related URLs: https://journal ... RevE.104.024122 (Publisher URL)
PURE Output Type: Article
Published Date: 2021-08-16
Accepted Date: 2021-07-28
Authors: Foster, Damien Paul (ORCID Profile 0000-0001-8493-975X)
Majumdar, Debjyoti

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